Question

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if vw = 74, what is ux?
ux = \boxed{}

Explanation:

Step1: Identify Midsegment Theorem

In triangle \(VWY\), \(X\) is midpoint of \(WY\) (marked by congruent segments) and \(U\) is midpoint of \(VY\) (marked by congruent segments). So \(UX\) is midsegment.

Step2: Apply Midsegment Formula

Midsegment \(UX\) is parallel to \(VW\) and \(UX=\frac{1}{2}VW\). Given \(VW = 74\), so \(UX=\frac{74}{2}=37\).

Answer:

\(37\)